We prove that there exist infinitely many distributional solutions with infinite kinetic energy to both the incompressible Navier-Stokes equations in $ \mathbb{R}^2 $ and Burgers equation in $\mathbb{R} $ with vanishing initial data
We consider the isentropic Euler equations of gas dynamics in the whole two-dimensional space and we...
We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-...
In this paper, we represents incompressible Navier-Stokes equations, i.e. fluid is incompressible in...
We prove that there exist infinitely many distributional solutions with infinite kinetic energy to b...
We compare freely decaying evolution of the Navier-Stokes equations with that of the 3D Burgers equa...
By utilizing our geometric framework to describe the dynamic of a continuous medium , we give exis...
We develop the concept of an infinite-energy statistical solution to the Navier–Stokes and Euler equ...
We study the so-called damped Navier-Stokes equations in the whole 2D space. The global well-posedne...
In this thesis several problems in Partial Differential Equations in unbounded domains are studied u...
Dans cette thèse, on étudie des estimations d'énergie pour les équations de Navier–Stokes, avec des ...
26 pagesWe show that solutions $u(x,t)$ of the non-stationnary incompressible Navier--Stokes system ...
Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス・フォア・インダスト...
We study the Navier-Stokes equations for compressible barotropic fluids in a bounded or unbounded do...
We are concerned with the existence and uniqueness issue for the inhomogeneous incompressible Navier...
We define the concept of energy-variational solutions for the Navier--Stokes and Euler equations. Th...
We consider the isentropic Euler equations of gas dynamics in the whole two-dimensional space and we...
We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-...
In this paper, we represents incompressible Navier-Stokes equations, i.e. fluid is incompressible in...
We prove that there exist infinitely many distributional solutions with infinite kinetic energy to b...
We compare freely decaying evolution of the Navier-Stokes equations with that of the 3D Burgers equa...
By utilizing our geometric framework to describe the dynamic of a continuous medium , we give exis...
We develop the concept of an infinite-energy statistical solution to the Navier–Stokes and Euler equ...
We study the so-called damped Navier-Stokes equations in the whole 2D space. The global well-posedne...
In this thesis several problems in Partial Differential Equations in unbounded domains are studied u...
Dans cette thèse, on étudie des estimations d'énergie pour les équations de Navier–Stokes, avec des ...
26 pagesWe show that solutions $u(x,t)$ of the non-stationnary incompressible Navier--Stokes system ...
Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス・フォア・インダスト...
We study the Navier-Stokes equations for compressible barotropic fluids in a bounded or unbounded do...
We are concerned with the existence and uniqueness issue for the inhomogeneous incompressible Navier...
We define the concept of energy-variational solutions for the Navier--Stokes and Euler equations. Th...
We consider the isentropic Euler equations of gas dynamics in the whole two-dimensional space and we...
We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-...
In this paper, we represents incompressible Navier-Stokes equations, i.e. fluid is incompressible in...